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2214230240 = 255233831571
BaseRepresentation
bin1000001111111010…
…0111100011100000
312201022110112212102
42003332213203200
514013320331430
61003414345532
7105604434515
oct20376474340
95638415772
102214230240
11a36969a52
1251965b2a8
13293974811
1417010330c
15ce5cd345
hex83fa78e0

2214230240 has 96 divisors (see below), whose sum is σ = 5476294656. Its totient is φ = 844433920.

The previous prime is 2214230231. The next prime is 2214230267. The reversal of 2214230240 is 420324122.

2214230240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408655 + ... + 1410225.

It is an arithmetic number, because the mean of its divisors is an integer number (57044736).

Almost surely, 22214230240 is an apocalyptic number.

2214230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738147328).

2214230240 is an abundant number, since it is smaller than the sum of its proper divisors (3262064416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2214230240 is a wasteful number, since it uses less digits than its factorization.

2214230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2214230240 is about 47055.6079548442. The cubic root of 2214230240 is about 1303.3896236324.

Adding to 2214230240 its reverse (420324122), we get a palindrome (2634554362).

The spelling of 2214230240 in words is "two billion, two hundred fourteen million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 383 460 736 766 920 1532 1571 1840 1915 3064 3142 3680 3830 6128 6284 7660 7855 8809 12256 12568 15320 15710 17618 25136 30640 31420 35236 36133 44045 50272 61280 62840 70472 72266 88090 125680 140944 144532 176180 180665 251360 281888 289064 352360 361330 578128 601693 704720 722660 1156256 1203386 1409440 1445320 2406772 2890640 3008465 4813544 5781280 6016930 9627088 12033860 13838939 19254176 24067720 27677878 48135440 55355756 69194695 96270880 110711512 138389390 221423024 276778780 442846048 553557560 1107115120 2214230240